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Finding the Fourth Proportional to 71,871.60, 107,802.36 and 26,884.38

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Solution

The fourth proportional to 71,871.60, 107,802.36 and 26,884.38 is: 40,324.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.60 : 107,802.36 = 26,884.38 : x
  2. Step 2: Convert to fraction form
    71,871.60/107,802.36 = 26,884.38/x
  3. Step 3: Cross multiply
    71,871.60x = 107,802.36 × 26,884.38
  4. Step 4: Simplify right side
    71,871.60x = 2,898,199,611.14
  5. Step 5: Solve for x
    x = 2,898,199,611.14/71,871.60
  6. Step 6: Final answer
    x = 40,324.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.